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Finding the Third Proportional to 241.97 and 362.44

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Solution

The third proportional to 241.97 and 362.44 is: 542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.97 : 362.44 = 362.44 : x
  2. Step 2: Convert to fraction form
    241.97/362.44 = 362.44/x
  3. Step 3: Cross multiply
    241.97x = 362.44 × 362.44
  4. Step 4: Simplify right side
    241.97x = 131,360.94
  5. Step 5: Solve for x
    x = 131,360.94/241.97
  6. Step 6: Final answer
    x = 542.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.